Find the LCM and HCF of 1296 and 5040 by prime factorisation method.

Dear Student,

Please find below the solution to the asked query:

We have prime factorisation of 1296 and 5040 , As:

1296 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3

And

5040 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7

So,

LCM ( 1296 and 5040 ) = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 =  45360                             ( Ans )

And

H.C.F. ( 1296  and 5040 ) = 2 × 2 × 2 × 2 × 3 × 3 =  144                                                       ( Ans )


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